Computation of halo orbits in the photogravitational Sun-Earth system with oblateness

被引:19
|
作者
Tiwary, Rishikesh Dutta [1 ]
Kushvah, Badam Singh [1 ]
机构
[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India
关键词
Restricted three body problem; Photogravitational; Oblateness; Lissajous orbits; Halo orbits; RESTRICTED 3-BODY PROBLEM; PERIODIC-ORBITS; INVARIANT-MANIFOLDS; EQUILIBRIUM POINTS; CONNECTING ORBITS; DESIGN; STABILITY;
D O I
10.1007/s10509-015-2243-5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper, we extend an existing approach to find the Lissajous and halo orbits around Lagrangian points L-1 and L-2 in the restricted three body problem with the Sun as a radiating source and the Earth as an oblate spheroid. We analyze the effects of radiation pressure and oblateness on the orbits around Libration points L-1 and L-2. A first guess of halo orbits is computed using Lindstedt-Poincare method upto fourth order approximation. Due to the effect of radiation pressure and oblateness the time period increases around L-1 and decreases around L-2.
引用
收藏
页码:1 / 16
页数:16
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